Question

a square and a rectangle have the same perimeter. if the side of the square is 16m and the length of the rectangle is 18 m the breadth of the rectangle is.​

Answer 1

Answer: the breadth is 14 m.

Step-by-step explanation:

If each side of the square is 16 m, its perimeter is side×4=16×4=64m

Therefore, perimeter of the rectangle is also 64 m. let the breadth of the rectangle be b.

This means that 2(l+b)=64

2(18+ b)=64

18+b=32

b=14 m

Answer 2

Given: side of square: 16m length of rectangle: 18m

To find: breadth

Solutions:

• So now, we know the side of the square so we can find the perimeter if square.

• Formula for perimeter of square is : 4(side)

             4(16)= 64 m

• So the perimeter of the rectangle is also 64 m as mentioned in question.

• So the formula for perimeter of rectangle is:

                 2(l+b)

• Putting value of length and equating it with perimeter of square, we get:

                 2(l+b)=64

                 2(18+ b)=64

                 18+b=32

                 b=14 m

Answer:

                Hence the breadth of the rectangle is 14 m.